242 citations · 611 across the 19 of their papers we have counts for
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A structure-preserving FEM for the uniaxially constrained -tensor model of nematic liquid crystals
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
We consider the one-constant Landau - de Gennes model for nematic liquid crystals. The order parameter is a traceless tensor field , which is constrained to be uniaxial…
Linear and Nonlinear Fractional Elliptic Problems
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
This paper surveys recent analytical and numerical research on linear problems for the integral fractional Laplacian, fractional obstacle problems, and fractional minimal graphs. T…
Finite element discretizations of nonlocal minimal graphs: convergence
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
In this paper, we propose and analyze a finite element discretization for the computation of fractional minimal graphs of order~ on a bounded domain . Such a Plat…